GCD of 817, 103, 771, 345 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 817, 103, 771, 345 i.e. 1 largest integer that divides all the numbers equally.

GCD of 817, 103, 771, 345 is 1

GCD(817, 103, 771, 345) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 817, 103, 771, 345 is 1

GCD(817, 103, 771, 345) = 1

GCD of 817,103,771,345 Calculator

GCDof 817,103,771,345 is 1

Given Input numbers are 817, 103, 771, 345

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 817, 103, 771, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 103, 771, 345 is 1.

Therefore, GCD of numbers 817, 103, 771, 345 is 1

Finding GCD of 817, 103, 771, 345 using Prime Factorization

Given Input Data is 817, 103, 771, 345

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 817 is 19 x 43

Prime Factorization of 103 is 103

Prime Factorization of 771 is 3 x 257

Prime Factorization of 345 is 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 817, 103, 771, 345 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(817, 103) = 84151

GCD(817, 103) = ( 817 x 103 ) / 84151

GCD(817, 103) = 84151 / 84151

GCD(817, 103) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 817, 103, 771, 345 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 817, 103, 771, 345

1. What is the GCD of 817, 103, 771, 345?

GCD of 817, 103, 771, 345 is 1


2. Where do I get the detailed procedure to find GCD of 817, 103, 771, 345?

You can find a detailed procedure to find GCD of 817, 103, 771, 345 on our page.


3. How to find GCD of 817, 103, 771, 345 on a calculator?

You can find the GCD of 817, 103, 771, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.